Browsing by Author "Allahviranloo, Tofigh"

Now showing 1 - 4 of 4

Citation Count: Salahshour, S...et al. (2012). "Existence and uniqueness results for fractional differential equations with uncertainty", Advances In Difference Equations.
Existence and Uniqueness Results for Fractional Differential Equations With Uncertainty
(Springer International Publishing AG, 2012) Salahshour, S.; Allahviranloo, Tofigh; Abbasbandy, S.; Baleanu, Dumitru; 56389
In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo's H-differentiability. To this end, the concept of Riemann-Liouville's H-differentiability is introduced, and subsequently, the Caputo's H-differentiability is proposed. Moreover, the related fuzzy Volterra integral forms of FFDEs are obtained which are applied to construct two converge consequences of fuzzy-valued functions as approximated solutions of FFDEs.
Citation Count: Allahviranloo, Tofigh...et al. (2013). "Fuzzy Fractional Ostrowski inequality with Caputo differentiability", Journal of Inequalities and Applications.
Fuzzy Fractional Ostrowski inequality with Caputo differentiability
(2013) Allahviranloo, Tofigh; Avazpour, Ladan; J. Ebadi, Mohammad; Baleanu, Dumitru; 56389
The use of fractional inequalities in mathematical models is increasingly widespread in recent years. In this manuscript, we firstly propose the right Caputo derivative of fuzzy-valued functions about fractional order ν (0 < ν < 1). To this end, we consider two types of differentiability (similar to the non-fractional case). Then we derive the equivalent integral forms of original fuzzy fractional differential equations. Finally, we prove the fuzzy Ostrowski inequality involving three functions under Caputo’s differentiability. In this regard, we state some new results
Citation Count: Allahviranloo, T...et al. (2018). "General Solutions of Fully Fuzzy Linear Systems", Abstract and Applied Analysis.
General Solutions of Fully Fuzzy Linear Systems
(Hindawi LTD, 2013) Allahviranloo, Tofigh; Salahshour, S.; Homayoun-nejad, M.; Baleanu, Dumitru; 56389
We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.
Citation Count: Allahviranloo, T...et al. (2013). "On Solutions of Linear Fractional Differential Equations with Uncertainty", Abstract and Applied Analysis.
On Solutions of Linear Fractional Differential Equations With Uncertainty
(Hindawi LTD, 2013) Allahviranloo, Tofigh; Abbasbandy, S.; Shahryari, M. R. Balooch; Salahshour, S.; Baleanu, Dumitru; 56389
The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.